A determinant is chosen at random from the set of all determinants of order 2 with elements 0 and 1 only. The probability that the determinant chosen is non-zero is

Question

$\begin {array} {1 1} (A)\;\large\frac{3}{16} & \quad (B)\;\large\frac{3}{8} \\ (C)\;\large\frac{1}{4} & \quad (D)\;None\: of\: these \end {array}$